Prime p₀= 2367545027649568757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Coleslaw
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2367544141588300273	0 34 54 70 88 100 118 120 208 210 228 240 258 274 294 328	-886061268484
STPT(10)	2367544167763018427	0 2 30 32 42 44 54 56 84 86	-859886550330
SPT(16)	2367544189882240669	0 18 70 82 94 138 144 154 198 208 214 258 270 282 334 352	-837767328088
STPT(10)	2367544343239080821	0 2 6 8 48 50 90 92 96 98	-684410487936
STPT(12)	2367544690696716149	0 2 48 50 168 170 180 182 300 302 348 350	-336952852608
TPT(14)	2367544690696716149	0 2 48 50 168 170 180 182 300 302 348 350 378 380	-336952852608
SPT(16)	2367545089991917331	0 38 80 86 108 116 126 152 156 182 192 200 222 228 270 308	62342348574
STPT(10)	2367545328191695409	0 2 18 20 30 32 42 44 60 62	300542126652
SPT(16)	2367545382711027451	0 48 72 102 132 150 162 192 196 226 238 256 286 316 340 388	355061458694
STPT(10)	2367545547230690381	0 2 36 38 78 80 120 122 156 158	519581121624
STPT(10)	2367545700192089117	0 2 30 32 42 44 54 56 84 86	672542520360